2451682080 has 240 divisors, whose sum is σ = 8742727224. Its totient is φ = 646963200.

The previous prime is 2451682063. The next prime is 2451682087. The reversal of 2451682080 is 802861542.

It can be written as a sum of positive squares in 4 ways, for example, as 1925805456 + 525876624 = 43884^2 + 22932^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2451682087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1308024 + ... + 1309896.

Almost surely, 2^2451682080 is an apocalyptic number.

2451682080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2451682080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4371363612).

2451682080 is an abundant number, since it is smaller than the sum of its proper divisors (6291045144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2451682080 is a wasteful number, since it uses less digits than its factorization.

2451682080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2451682080 is about 49514.4633415328. The cubic root of 2451682080 is about 1348.4081978977.

The spelling of 2451682080 in words is "two billion, four hundred fifty-one million, six hundred eighty-two thousand, eighty".